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Finding the Fourth Proportional to 3,616.48, 4,993.28 and 3,193.60

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Solution

The fourth proportional to 3,616.48, 4,993.28 and 3,193.60 is: 4,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.48 : 4,993.28 = 3,193.60 : x
  2. Step 2: Convert to fraction form
    3,616.48/4,993.28 = 3,193.60/x
  3. Step 3: Cross multiply
    3,616.48x = 4,993.28 × 3,193.60
  4. Step 4: Simplify right side
    3,616.48x = 15,946,539.01
  5. Step 5: Solve for x
    x = 15,946,539.01/3,616.48
  6. Step 6: Final answer
    x = 4,409.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.